{"id":"W4403085287","doi":"10.2140/pjm.2024.331.23","title":"Differential calculus for generalized geometry and geometric Lax flows","year":2024,"lang":"en","type":"article","venue":"Pacific Journal of Mathematics","topic":"Nonlinear Waves and Solitons","field":"Physics and Astronomy","cited_by":1,"is_retracted":false,"has_abstract":false,"ca_institutions":"Wilfrid Laurier University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Differential calculus; Calculus (dental); Time-scale calculus; Differential geometry; Differential (mechanical device); Geometry; Algebra over a field; Pure mathematics; Multivariable calculus; Physics; Medicine","routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001704826,0.001271701,0.001405034,0.003842631,0.002402095,0.00453323,0.001151136,0.00163172,0.006083556],"category_scores_gemma":[0.002484366,0.0005355217,0.001381091,0.002354193,0.004729812,0.008164859,0.003126538,0.003486673,0.0005904858],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002780235,"about_ca_system_score_gemma":0.001041834,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002028925,"about_ca_topic_score_gemma":0.001695455,"domain_scores_codex":[0.9994373,0.0001818601,0.00003929095,0.0001101643,0.0001407141,0.00009064085],"domain_scores_gemma":[0.9990145,0.0003439013,0.0001309457,0.00009304132,0.0002360907,0.000181528],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.000003383713,0.000004472068,0.00003024834,0.000006771806,0.000002540959,0.00002144381,0.00007639855,0.0001962913,0.0001089924,0.9987741,0.0002177879,0.0005574537],"study_design_scores_gemma":[0.000004557901,0.000005287519,0.00004535049,0.000003484188,0.000002931228,0.00002376707,0.00003668643,0.001532227,0.00002739604,0.9971817,0.00113263,0.000004108839],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3123842,0.009698644,0.4914623,0.01256336,0.002526344,0.000104821,0.0007997776,0.0004375829,0.170023],"genre_scores_gemma":[0.9052511,0.003841212,0.03809351,0.001364206,0.002595431,0.0001503138,0.0004307095,0.0001856602,0.04808779],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.006083556,"threshold_uncertainty_score":0.02035147,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01585786984568753,"score_gpt":0.2747309469757576,"score_spread":0.2588730771300701,"validation_status":"score_only:v0-immature-baseline","note":"Baseline scores from an immature model (maturity gate not passed). Scores rank; they never assert a category."}}